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zavuch27 [327]
2 years ago
5

Check if 5/11 and 7/6 are rational numbers.

Mathematics
1 answer:
LekaFEV [45]2 years ago
8 0

Answer:

  they are rational numbers

Step-by-step explanation:

Any fraction with integers in numerator and denominator is a rational number.

__

  5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.

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Find the measure of angle Y. Round your answer to the nearest hundredth. (Please type the numerical answer only)
Sati [7]

Answer:

y = 11.54°

Step-by-step explanation:

Reference angle = y°

Opposite side length = 4

Hypotenuse = 20

Apply trigonometric function SOH:

Sin(y) = \frac{Opp}{Hyp}

Sin(y) = \frac{4}{20}

Sin(y) = 0.2

y = Sin^{-1}(0.2)

y = 11.536959° ≈ 11.54° (nearest hundredth)

4 0
3 years ago
C = 200 – 7x + 0.345x2
fenix001 [56]

The way to find the domain and the range is illustrated below.

<h3>How to illustrate the information?</h3>

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + .345 (4) = 187.38

3    200 - 21 + .345(9) = 182.105

4    200 - 28 + .345(16) = 177.52

5    200 - 35 + 0.345(25) = 173.625

6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

Learn more about domain on:

brainly.com/question/2264373

#SPJ1

Complete question:

the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.

4 0
1 year ago
Which figure is the image produced by applying the composition T 0,3 o R0,90 to figure R?
Lyrx [107]

We are given original image R.

It is being translated by (0,3) first and then rotated by a positive angle 90 degrees.

Translation by (0,3) represents (x,y) --> (x, y+3) rule.

Positive 90 degree rotation represents, counterclockwise rotation.

The rule for counterclockwise rotation is (x,y) --> (-y,x).

Therefore, final rule for would be

(x,y) --> ( -y,x+3 )

Let us take a coordinate of R on y-axis as (0,-4).

Now if we apply rule (x,y) --> ( -y,x+3 ) we get

(0,-4)  --> (-(-4), 0+3) = (4,3).

Let us check the figure with coordinate (4,3).

We can clearly see that Figure H has transformed coordinate (4,3).

<h3>Therefore, correct option is first option A. figure H.</h3>
8 0
3 years ago
So its 7:10am in AZ and I'm bored hbu?
Flura [38]

Answer:   its 9:11 in alabama

im bored toooo

are u virtual or nah

Step-by-step explanation:

5 0
3 years ago
Only number one please help ​
Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2\frac{1}{2}hours

6 0
3 years ago
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